Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost...

Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here.

Aynor: Cost = 66Q1 + 6Q1² + 105
Spartanburg: Cost = 20Q2 + 2.5Q2² + 156

Where
	Q₁ = number of chairs produced at Aynor
	Q₂= number of chairs produced at Spartanburg

Andalus needs to manufacture a total of 50 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost? When required, round your answers to the nearest dollar.

The optimal solution is to produce chairs at Aynor for a cost of $ and chairs at Spartanburg for a cost of $ . The total cost is $ .

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Expert Solution

orchestra answered 1 year ago

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